The Elsasser Number is a dimensionless number used in magnetohydrodynamics to describe the relative balance of Lorentz forces to Coriolis forces.
where: σ is the electrical conductivity of the fluid,
B is the typical magnetic field strength within the fluid, ρ is the fluid density, Ω is the angular velocity of the Earth,
Gubbins, D. (2007), Geodynamo, dimensional analysis and timescales, in Encyclopedia of Geomagnetism and Paleomagnetism, edited by D. Gubbins and E. Herrero-Bervera, pp. 297–300, Springer, Dordrecht.
Elsasser Number
Table of Contents
where:
σ is the electrical conductivity of the fluid,
B is the typical magnetic field strength within the fluid,
ρ is the fluid density,
Ω is the angular velocity of the Earth,
A typical value for the Earth is Λ ~ 1[1] .
References
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Gubbins, D. (2007), Geodynamo, dimensional analysis and timescales, in Encyclopedia of Geomagnetism and Paleomagnetism, edited by D. Gubbins and E. Herrero-Bervera, pp. 297–300, Springer, Dordrecht.See Also
List of Dimensionless Numbers